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StatisticsEssentials of Statistics for the Behavioral SciencesA normal distribution is a common assumption underlying many statistical tests. Although the assumption is usually not important, it is possible to test whether it is plausible. Specifically, the unit normal table lists proportions for individual sections of a normal distribution, and a chi-square test for goodness of fit can be used to evaluate whether a specific distribution fits the proportions. For example, if a normal distribution is divided into sections using z -score values, then proportions in each section should be as follows: -1.5 < z -0.5 <z 0.5 <z z < -1.5 -0.5 0.5 1.5 z > 1.5 6.68% 24.17% 38.30% 24.17% 6.68% Use these proportions to test whether the following sample of n = 90 scores is significantly different from a normal distribution. Test with a = .05. -1.5 < z -0.5 <z 0.5 <z z < -1.5 -0.5 0.5 1.5 z > 1.5 8 19 31 23 9BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 15, Problem 7P

Textbook Problem

A normal distribution is a common assumption underlying many statistical tests. Although the assumption is usually not important, it is possible to test whether it is plausible. Specifically, the unit normal table lists proportions for individual sections of a normal distribution, and a chi-square test for goodness of fit can be used to evaluate whether a specific distribution fits the proportions. For example, if a normal distribution is divided into sections using *z*-score values, then proportions in each section should be as follows:

-1.5 < z | -0.5 <z | 0.5 <z |
||

z < -1.5 |
-0.5 | 0.5 | 1.5 | z > 1.5 |

6.68% | 24.17% | 38.30% | 24.17% | 6.68% |

Use these proportions to test whether the following sample of ** n** = 90 scores is significantly different from a normal distribution. Test with a = .05.

-1.5 < z | -0.5 <z | 0.5 <z |
||

z < -1.5 |
-0.5 | 0.5 | 1.5 | z > 1.5 |

8 | 19 | 31 | 23 | 9 |

Essentials of Statistics for the Behavioral Sciences

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